Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'stanbon'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069 , 17070..17099 , 17100..17129 , 17130..17159 , 17160..17189 , 17190..17219 , 17220..17249 , 17250..17279 , 17280..17309 , 17310..17339 , 17340..17369 , 17370..17399 , 17400..17429 , 17430..17459 , 17460..17489 , 17490..17519 , 17520..17549 , 17550..17579 , 17580..17609 , 17610..17639 , 17640..17669 , 17670..17699 , 17700..17729 , 17730..17759 , 17760..17789 , 17790..17819 , 17820..17849 , 17850..17879 , 17880..17909 , 17910..17939 , 17940..17969 , 17970..17999 , 18000..18029 , 18030..18059 , 18060..18089 , 18090..18119 , 18120..18149 , 18150..18179 , 18180..18209 , 18210..18239 , 18240..18269 , 18270..18299 , 18300..18329 , 18330..18359 , 18360..18389 , 18390..18419 , 18420..18449 , 18450..18479 , 18480..18509 , 18510..18539 , 18540..18569 , 18570..18599 , 18600..18629 , 18630..18659 , 18660..18689 , 18690..18719 , 18720..18749 , 18750..18779 , 18780..18809 , 18810..18839 , 18840..18869 , 18870..18899 , 18900..18929 , 18930..18959 , 18960..18989 , 18990..19019 , 19020..19049 , 19050..19079 , 19080..19109 , 19110..19139 , 19140..19169 , 19170..19199 , 19200..19229 , 19230..19259 , 19260..19289 , 19290..19319 , 19320..19349 , 19350..19379 , 19380..19409 , 19410..19439 , 19440..19469 , 19470..19499 , 19500..19529 , 19530..19559 , 19560..19589 , 19590..19619 , 19620..19649 , 19650..19679 , 19680..19709 , 19710..19739 , 19740..19769 , 19770..19799 , 19800..19829 , 19830..19859 , 19860..19889 , 19890..19919 , 19920..19949 , 19950..19979 , 19980..20009 , 20010..20039 , 20040..20069 , 20070..20099 , 20100..20129 , 20130..20159 , 20160..20189 , 20190..20219 , 20220..20249 , 20250..20279 , 20280..20309 , 20310..20339 , 20340..20369 , 20370..20399 , 20400..20429 , 20430..20459 , 20460..20489 , 20490..20519 , 20520..20549 , 20550..20579 , 20580..20609 , 20610..20639 , 20640..20669 , 20670..20699 , 20700..20729 , 20730..20759 , 20760..20789 , 20790..20819 , 20820..20849 , 20850..20879 , 20880..20909 , 20910..20939 , 20940..20969 , 20970..20999 , 21000..21029 , 21030..21059 , 21060..21089 , 21090..21119 , 21120..21149 , 21150..21179 , 21180..21209 , 21210..21239 , 21240..21269 , 21270..21299 , 21300..21329 , 21330..21359 , 21360..21389 , 21390..21419 , 21420..21449 , 21450..21479 , 21480..21509 , 21510..21539 , 21540..21569 , 21570..21599 , 21600..21629 , 21630..21659 , 21660..21689 , 21690..21719 , 21720..21749 , 21750..21779 , 21780..21809 , 21810..21839 , 21840..21869 , 21870..21899 , 21900..21929 , 21930..21959 , 21960..21989 , 21990..22019 , 22020..22049 , 22050..22079 , 22080..22109 , 22110..22139 , 22140..22169 , 22170..22199 , 22200..22229 , 22230..22259 , 22260..22289 , 22290..22319 , 22320..22349 , 22350..22379 , 22380..22409 , 22410..22439 , 22440..22469 , 22470..22499 , 22500..22529 , 22530..22559 , 22560..22589 , 22590..22619 , 22620..22649 , 22650..22679 , 22680..22709 , 22710..22739 , 22740..22769 , 22770..22799 , 22800..22829 , 22830..22859 , 22860..22889 , 22890..22919 , 22920..22949 , 22950..22979 , 22980..23009 , 23010..23039 , 23040..23069 , 23070..23099 , 23100..23129 , 23130..23159 , 23160..23189 , 23190..23219 , 23220..23249 , 23250..23279 , 23280..23309 , 23310..23339 , 23340..23369 , 23370..23399 , 23400..23429 , 23430..23459 , 23460..23489 , 23490..23519 , 23520..23549 , 23550..23579 , 23580..23609 , 23610..23639 , 23640..23669 , 23670..23699 , 23700..23729 , 23730..23759 , 23760..23789 , 23790..23819 , 23820..23849 , 23850..23879 , 23880..23909 , 23910..23939 , 23940..23969 , 23970..23999 , 24000..24029 , 24030..24059 , 24060..24089 , 24090..24119 , 24120..24149 , 24150..24179 , 24180..24209 , 24210..24239 , 24240..24269 , 24270..24299 , 24300..24329 , 24330..24359 , 24360..24389 , 24390..24419 , 24420..24449 , 24450..24479 , 24480..24509 , 24510..24539 , 24540..24569 , 24570..24599 , 24600..24629 , 24630..24659 , 24660..24689 , 24690..24719 , 24720..24749 , 24750..24779 , 24780..24809 , 24810..24839 , 24840..24869 , 24870..24899 , 24900..24929 , 24930..24959 , 24960..24989 , 24990..25019 , 25020..25049 , 25050..25079 , 25080..25109 , 25110..25139 , 25140..25169 , 25170..25199 , 25200..25229 , 25230..25259 , 25260..25289 , 25290..25319 , 25320..25349 , 25350..25379 , 25380..25409 , 25410..25439 , 25440..25469 , 25470..25499 , 25500..25529 , 25530..25559 , 25560..25589 , 25590..25619 , 25620..25649 , 25650..25679 , 25680..25709 , 25710..25739 , 25740..25769 , 25770..25799 , 25800..25829 , 25830..25859 , 25860..25889 , 25890..25919 , 25920..25949 , 25950..25979 , 25980..26009 , 26010..26039 , 26040..26069 , 26070..26099 , 26100..26129 , 26130..26159 , 26160..26189 , 26190..26219 , 26220..26249 , 26250..26279 , 26280..26309 , 26310..26339 , 26340..26369 , 26370..26399 , 26400..26429 , 26430..26459 , 26460..26489 , 26490..26519 , 26520..26549 , 26550..26579 , 26580..26609 , 26610..26639 , 26640..26669 , 26670..26699 , 26700..26729 , 26730..26759 , 26760..26789 , 26790..26819 , 26820..26849 , 26850..26879 , 26880..26909 , 26910..26939 , 26940..26969 , 26970..26999 , 27000..27029 , 27030..27059 , 27060..27089 , 27090..27119 , 27120..27149 , 27150..27179 , 27180..27209 , 27210..27239 , 27240..27269 , 27270..27299 , 27300..27329 , 27330..27359 , 27360..27389 , 27390..27419 , 27420..27449 , 27450..27479 , 27480..27509 , 27510..27539 , 27540..27569 , 27570..27599 , 27600..27629 , 27630..27659 , 27660..27689 , 27690..27719 , 27720..27749 , 27750..27779 , 27780..27809 , 27810..27839 , 27840..27869 , 27870..27899 , 27900..27929 , 27930..27959 , 27960..27989 , 27990..28019 , 28020..28049 , 28050..28079 , 28080..28109 , 28110..28139 , 28140..28169 , 28170..28199 , 28200..28229 , 28230..28259 , 28260..28289 , 28290..28319 , 28320..28349 , 28350..28379 , 28380..28409 , 28410..28439 , 28440..28469 , 28470..28499 , 28500..28529 , 28530..28559 , 28560..28589 , 28590..28619 , 28620..28649 , 28650..28679 , 28680..28709 , 28710..28739 , 28740..28769 , 28770..28799 , 28800..28829 , 28830..28859 , 28860..28889 , 28890..28919 , 28920..28949 , 28950..28979 , 28980..29009 , 29010..29039 , 29040..29069 , 29070..29099 , 29100..29129 , 29130..29159 , 29160..29189 , 29190..29219 , 29220..29249 , 29250..29279 , 29280..29309 , 29310..29339 , 29340..29369 , 29370..29399 , 29400..29429 , 29430..29459 , 29460..29489 , 29490..29519 , 29520..29549 , 29550..29579 , 29580..29609 , 29610..29639 , 29640..29669 , 29670..29699 , 29700..29729 , 29730..29759 , 29760..29789 , 29790..29819 , 29820..29849 , 29850..29879 , 29880..29909 , 29910..29939 , 29940..29969 , 29970..29999 , 30000..30029 , 30030..30059 , 30060..30089 , 30090..30119 , 30120..30149 , 30150..30179 , 30180..30209 , 30210..30239 , 30240..30269 , 30270..30299 , 30300..30329 , 30330..30359 , 30360..30389 , 30390..30419 , 30420..30449 , 30450..30479 , 30480..30509 , 30510..30539 , 30540..30569 , 30570..30599 , 30600..30629 , 30630..30659 , 30660..30689 , 30690..30719 , 30720..30749 , 30750..30779 , 30780..30809 , 30810..30839 , 30840..30869 , 30870..30899 , 30900..30929 , 30930..30959 , 30960..30989 , 30990..31019 , 31020..31049 , 31050..31079 , 31080..31109 , 31110..31139 , 31140..31169 , 31170..31199 , 31200..31229 , 31230..31259 , 31260..31289 , 31290..31319 , 31320..31349 , 31350..31379 , 31380..31409 , 31410..31439 , 31440..31469 , 31470..31499 , 31500..31529 , 31530..31559 , 31560..31589 , 31590..31619 , 31620..31649 , 31650..31679 , 31680..31709 , 31710..31739 , 31740..31769 , 31770..31799 , 31800..31829 , 31830..31859 , 31860..31889 , 31890..31919 , 31920..31949 , 31950..31979 , 31980..32009 , 32010..32039 , 32040..32069 , 32070..32099 , 32100..32129 , 32130..32159 , 32160..32189 , 32190..32219 , 32220..32249 , 32250..32279 , 32280..32309 , 32310..32339 , 32340..32369 , 32370..32399 , 32400..32429 , 32430..32459 , 32460..32489 , 32490..32519 , 32520..32549 , 32550..32579 , 32580..32609 , 32610..32639 , 32640..32669 , 32670..32699 , 32700..32729 , 32730..32759 , 32760..32789 , 32790..32819 , 32820..32849 , 32850..32879 , 32880..32909 , 32910..32939 , 32940..32969 , 32970..32999 , 33000..33029 , 33030..33059 , 33060..33089 , 33090..33119 , 33120..33149 , 33150..33179 , 33180..33209 , 33210..33239 , 33240..33269 , 33270..33299 , 33300..33329 , 33330..33359 , 33360..33389 , 33390..33419 , 33420..33449 , 33450..33479 , 33480..33509 , 33510..33539 , 33540..33569 , 33570..33599 , 33600..33629 , 33630..33659 , 33660..33689 , 33690..33719 , 33720..33749 , 33750..33779 , 33780..33809 , 33810..33839 , 33840..33869 , 33870..33899 , 33900..33929 , 33930..33959 , 33960..33989 , 33990..34019 , 34020..34049 , 34050..34079 , 34080..34109 , 34110..34139 , 34140..34169 , 34170..34199 , 34200..34229 , 34230..34259 , 34260..34289 , 34290..34319 , 34320..34349 , 34350..34379 , 34380..34409 , 34410..34439 , 34440..34469 , 34470..34499 , 34500..34529 , 34530..34559 , 34560..34589 , 34590..34619 , 34620..34649 , 34650..34679 , 34680..34709 , 34710..34739 , 34740..34769 , 34770..34799 , 34800..34829 , 34830..34859 , 34860..34889 , 34890..34919 , 34920..34949 , 34950..34979 , 34980..35009 , 35010..35039 , 35040..35069 , 35070..35099 , 35100..35129 , 35130..35159 , 35160..35189 , 35190..35219 , 35220..35249 , 35250..35279 , 35280..35309 , 35310..35339 , 35340..35369 , 35370..35399 , 35400..35429 , 35430..35459 , 35460..35489 , 35490..35519 , 35520..35549 , 35550..35579 , 35580..35609 , 35610..35639 , 35640..35669 , 35670..35699 , 35700..35729 , 35730..35759 , 35760..35789 , 35790..35819 , 35820..35849 , 35850..35879 , 35880..35909 , 35910..35939 , 35940..35969 , 35970..35999 , 36000..36029 , 36030..36059 , 36060..36089 , 36090..36119 , 36120..36149 , 36150..36179 , 36180..36209 , 36210..36239 , 36240..36269 , 36270..36299 , 36300..36329 , 36330..36359 , 36360..36389 , 36390..36419 , 36420..36449 , 36450..36479 , 36480..36509 , 36510..36539 , 36540..36569 , 36570..36599 , 36600..36629 , 36630..36659 , 36660..36689 , 36690..36719 , 36720..36749 , 36750..36779 , 36780..36809 , 36810..36839 , 36840..36869 , 36870..36899 , 36900..36929 , 36930..36959 , 36960..36989 , 36990..37019 , 37020..37049 , 37050..37079 , 37080..37109 , 37110..37139 , 37140..37169 , 37170..37199 , 37200..37229 , 37230..37259 , 37260..37289 , 37290..37319 , 37320..37349 , 37350..37379 , 37380..37409 , 37410..37439 , 37440..37469 , 37470..37499 , 37500..37529 , 37530..37559 , 37560..37589 , 37590..37619 , 37620..37649 , 37650..37679 , 37680..37709 , 37710..37739 , 37740..37769 , 37770..37799 , 37800..37829 , 37830..37859 , 37860..37889 , 37890..37919 , 37920..37949 , 37950..37979 , 37980..38009 , 38010..38039 , 38040..38069 , 38070..38099 , 38100..38129 , 38130..38159 , 38160..38189 , 38190..38219 , 38220..38249 , 38250..38279 , 38280..38309 , 38310..38339 , 38340..38369 , 38370..38399 , 38400..38429 , 38430..38459 , 38460..38489 , 38490..38519 , 38520..38549 , 38550..38579 , 38580..38609 , 38610..38639 , 38640..38669 , 38670..38699 , 38700..38729 , 38730..38759 , 38760..38789 , 38790..38819 , 38820..38849 , 38850..38879 , 38880..38909 , 38910..38939 , 38940..38969 , 38970..38999 , 39000..39029 , 39030..39059 , 39060..39089 , 39090..39119 , 39120..39149 , 39150..39179 , 39180..39209 , 39210..39239 , 39240..39269 , 39270..39299 , 39300..39329 , 39330..39359 , 39360..39389 , 39390..39419 , 39420..39449 , 39450..39479 , 39480..39509 , 39510..39539 , 39540..39569 , 39570..39599 , 39600..39629 , 39630..39659 , 39660..39689 , 39690..39719 , 39720..39749 , 39750..39779 , 39780..39809 , 39810..39839 , 39840..39869 , 39870..39899 , 39900..39929 , 39930..39959 , 39960..39989 , 39990..40019 , 40020..40049 , 40050..40079 , 40080..40109 , 40110..40139 , 40140..40169 , 40170..40199 , 40200..40229 , 40230..40259 , 40260..40289 , 40290..40319 , 40320..40349 , 40350..40379 , 40380..40409 , 40410..40439 , 40440..40469 , 40470..40499 , 40500..40529 , 40530..40559 , 40560..40589 , 40590..40619 , 40620..40649 , 40650..40679 , 40680..40709 , 40710..40739 , 40740..40769 , 40770..40799 , 40800..40829 , 40830..40859 , 40860..40889 , 40890..40919 , 40920..40949 , 40950..40979 , 40980..41009 , 41010..41039 , 41040..41069 , 41070..41099 , 41100..41129 , 41130..41159 , 41160..41189 , 41190..41219 , 41220..41249 , 41250..41279 , 41280..41309 , 41310..41339 , 41340..41369 , 41370..41399 , 41400..41429 , 41430..41459 , 41460..41489 , 41490..41519 , 41520..41549 , 41550..41579 , 41580..41609 , 41610..41639 , 41640..41669 , 41670..41699 , 41700..41729 , 41730..41759 , 41760..41789 , 41790..41819 , 41820..41849 , 41850..41879 , 41880..41909 , 41910..41939 , 41940..41969 , 41970..41999 , 42000..42029 , 42030..42059 , 42060..42089 , 42090..42119 , 42120..42149 , 42150..42179 , 42180..42209 , 42210..42239 , 42240..42269 , 42270..42299 , 42300..42329 , 42330..42359 , 42360..42389 , 42390..42419 , 42420..42449 , 42450..42479 , 42480..42509 , 42510..42539 , 42540..42569 , 42570..42599 , 42600..42629 , 42630..42659 , 42660..42689 , 42690..42719 , 42720..42749 , 42750..42779 , 42780..42809 , 42810..42839 , 42840..42869 , 42870..42899 , 42900..42929 , 42930..42959 , 42960..42989 , 42990..43019 , 43020..43049 , 43050..43079 , 43080..43109 , 43110..43139 , 43140..43169 , 43170..43199 , 43200..43229 , 43230..43259 , 43260..43289 , 43290..43319 , 43320..43349 , 43350..43379 , 43380..43409 , 43410..43439 , 43440..43469 , 43470..43499 , 43500..43529 , 43530..43559 , 43560..43589 , 43590..43619 , 43620..43649 , 43650..43679 , 43680..43709 , 43710..43739 , 43740..43769 , 43770..43799 , 43800..43829 , 43830..43859 , 43860..43889 , 43890..43919 , 43920..43949 , 43950..43979 , 43980..44009 , 44010..44039 , 44040..44069 , 44070..44099 , 44100..44129 , 44130..44159 , 44160..44189 , 44190..44219 , 44220..44249 , 44250..44279 , 44280..44309 , 44310..44339 , 44340..44369 , 44370..44399 , 44400..44429 , 44430..44459 , 44460..44489 , 44490..44519 , 44520..44549 , 44550..44579 , 44580..44609 , 44610..44639 , 44640..44669 , 44670..44699 , 44700..44729 , 44730..44759 , 44760..44789 , 44790..44819 , 44820..44849 , 44850..44879 , 44880..44909 , 44910..44939 , 44940..44969 , 44970..44999 , 45000..45029 , 45030..45059 , 45060..45089 , 45090..45119 , 45120..45149 , 45150..45179 , 45180..45209 , 45210..45239 , 45240..45269 , 45270..45299 , 45300..45329 , 45330..45359 , 45360..45389 , 45390..45419 , 45420..45449 , 45450..45479 , 45480..45509 , 45510..45539 , 45540..45569 , 45570..45599 , 45600..45629 , 45630..45659 , 45660..45689 , 45690..45719 , 45720..45749 , 45750..45779 , 45780..45809 , 45810..45839 , 45840..45869 , 45870..45899 , 45900..45929 , 45930..45959 , 45960..45989 , 45990..46019 , 46020..46049 , 46050..46079 , 46080..46109 , 46110..46139 , 46140..46169 , 46170..46199 , 46200..46229 , 46230..46259 , 46260..46289 , 46290..46319 , 46320..46349 , 46350..46379 , 46380..46409 , 46410..46439 , 46440..46469 , 46470..46499 , 46500..46529 , 46530..46559 , 46560..46589 , 46590..46619 , 46620..46649 , 46650..46679 , 46680..46709 , 46710..46739 , 46740..46769 , 46770..46799 , 46800..46829 , 46830..46859 , 46860..46889 , 46890..46919 , 46920..46949 , 46950..46979 , 46980..47009 , 47010..47039 , 47040..47069 , 47070..47099 , 47100..47129 , 47130..47159 , 47160..47189 , 47190..47219 , 47220..47249 , 47250..47279 , 47280..47309 , 47310..47339 , 47340..47369 , 47370..47399 , 47400..47429 , 47430..47459 , 47460..47489 , 47490..47519 , 47520..47549 , 47550..47579 , 47580..47609 , 47610..47639 , 47640..47669 , 47670..47699 , 47700..47729 , 47730..47759 , 47760..47789 , 47790..47819 , 47820..47849 , 47850..47879 , 47880..47909 , 47910..47939 , 47940..47969 , 47970..47999 , 48000..48029 , 48030..48059 , 48060..48089 , 48090..48119 , 48120..48149 , 48150..48179 , 48180..48209 , 48210..48239 , 48240..48269 , 48270..48299 , 48300..48329 , 48330..48359 , 48360..48389 , 48390..48419 , 48420..48449 , 48450..48479 , 48480..48509 , 48510..48539 , 48540..48569 , 48570..48599 , 48600..48629 , 48630..48659 , 48660..48689 , 48690..48719 , 48720..48749 , 48750..48779 , 48780..48809 , 48810..48839 , 48840..48869 , 48870..48899 , 48900..48929 , 48930..48959 , 48960..48989 , 48990..49019 , 49020..49049 , 49050..49079 , 49080..49109 , 49110..49139 , 49140..49169 , 49170..49199 , 49200..49229 , 49230..49259 , 49260..49289 , 49290..49319 , 49320..49349 , 49350..49379 , 49380..49409 , 49410..49439 , 49440..49469 , 49470..49499 , 49500..49529 , 49530..49559 , 49560..49589 , 49590..49619 , 49620..49649 , 49650..49679 , 49680..49709 , 49710..49739 , 49740..49769 , 49770..49799 , 49800..49829 , 49830..49859 , 49860..49889 , 49890..49919 , 49920..49949 , 49950..49979 , 49980..50009 , 50010..50039 , 50040..50069 , 50070..50099 , 50100..50129 , 50130..50159 , 50160..50189 , 50190..50219 , 50220..50249 , 50250..50279 , 50280..50309 , 50310..50339 , 50340..50369 , 50370..50399 , 50400..50429 , 50430..50459 , 50460..50489 , 50490..50519 , 50520..50549 , 50550..50579 , 50580..50609 , 50610..50639 , 50640..50669 , 50670..50699 , 50700..50729 , 50730..50759 , 50760..50789 , 50790..50819 , 50820..50849 , 50850..50879 , 50880..50909 , 50910..50939 , 50940..50969 , 50970..50999 , 51000..51029 , 51030..51059 , 51060..51089 , 51090..51119 , 51120..51149 , 51150..51179 , 51180..51209 , 51210..51239 , 51240..51269 , 51270..51299 , 51300..51329 , 51330..51359 , 51360..51389 , 51390..51419 , 51420..51449 , 51450..51479 , 51480..51509 , 51510..51539 , 51540..51569 , 51570..51599 , 51600..51629 , 51630..51659 , 51660..51689 , 51690..51719 , 51720..51749 , 51750..51779 , 51780..51809 , 51810..51839 , 51840..51869 , 51870..51899 , 51900..51929 , 51930..51959 , 51960..51989 , 51990..52019 , 52020..52049 , 52050..52079 , 52080..52109 , 52110..52139 , 52140..52169 , 52170..52199 , 52200..52229 , 52230..52259 , 52260..52289 , 52290..52319 , 52320..52349 , 52350..52379 , 52380..52409 , 52410..52439 , 52440..52469 , 52470..52499 , 52500..52529 , 52530..52559 , 52560..52589 , 52590..52619 , 52620..52649 , 52650..52679 , 52680..52709 , 52710..52739 , 52740..52769 , 52770..52799 , 52800..52829 , 52830..52859 , 52860..52889 , 52890..52919 , 52920..52949 , 52950..52979 , 52980..53009 , 53010..53039 , 53040..53069 , 53070..53099 , 53100..53129 , 53130..53159 , 53160..53189 , 53190..53219 , 53220..53249 , 53250..53279 , 53280..53309 , 53310..53339 , 53340..53369 , 53370..53399 , 53400..53429 , 53430..53459 , 53460..53489 , 53490..53519 , 53520..53549 , 53550..53579 , 53580..53609 , 53610..53639 , 53640..53669 , 53670..53699 , 53700..53729 , 53730..53759 , 53760..53789 , 53790..53819 , 53820..53849 , 53850..53879 , 53880..53909 , 53910..53939 , 53940..53969 , 53970..53999 , 54000..54029 , 54030..54059 , 54060..54089 , 54090..54119 , 54120..54149 , 54150..54179 , 54180..54209 , 54210..54239 , 54240..54269 , 54270..54299 , 54300..54329 , 54330..54359 , 54360..54389 , 54390..54419 , 54420..54449 , 54450..54479 , 54480..54509 , 54510..54539 , 54540..54569 , 54570..54599 , 54600..54629 , 54630..54659 , 54660..54689 , 54690..54719 , 54720..54749 , 54750..54779 , 54780..54809 , 54810..54839 , 54840..54869 , 54870..54899 , 54900..54929 , 54930..54959 , 54960..54989 , 54990..55019 , 55020..55049 , 55050..55079 , 55080..55109 , 55110..55139 , 55140..55169 , 55170..55199 , 55200..55229 , 55230..55259 , 55260..55289 , 55290..55319 , 55320..55349 , 55350..55379 , 55380..55409 , 55410..55439 , 55440..55469 , 55470..55499 , 55500..55529 , 55530..55559 , 55560..55589 , 55590..55619 , 55620..55649 , 55650..55679 , 55680..55709 , 55710..55739 , 55740..55769 , 55770..55799 , 55800..55829 , 55830..55859 , 55860..55889 , 55890..55919 , 55920..55949 , 55950..55979 , 55980..56009 , 56010..56039 , 56040..56069 , 56070..56099 , 56100..56129 , 56130..56159 , 56160..56189 , 56190..56219 , 56220..56249 , 56250..56279 , 56280..56309 , 56310..56339 , 56340..56369 , 56370..56399 , 56400..56429 , 56430..56459 , 56460..56489 , 56490..56519 , 56520..56549 , 56550..56579 , 56580..56609 , 56610..56639 , 56640..56669 , 56670..56699 , 56700..56729 , 56730..56759 , 56760..56789 , 56790..56819 , 56820..56849 , 56850..56879 , 56880..56909 , 56910..56939 , 56940..56969 , 56970..56999 , 57000..57029 , 57030..57059 , 57060..57089 , 57090..57119 , 57120..57149 , 57150..57179 , 57180..57209 , 57210..57239 , 57240..57269 , 57270..57299 , 57300..57329, >>Next

 Linear-equations/398034: A semiconductor manufacturer seeks to maximize its profits. Testing indicates that they can produce 100,000 chips per week at a cost of \$40 per chip, and sell them for \$65 per chip. They also find that they can produce 125,000 chips per week at a cost of \$35 per chip, and sell them for \$63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week? 1 solutions Answer 282053 by stanbon(57395)   on 2011-01-21 22:32:05 (Show Source): You can put this solution on YOUR website!Testing indicates that they can produce 100,000 chips per week at a cost of \$40 per chip, and sell them for \$65 per chip. They also find that they can produce 125,000 chips per week at a cost of \$35 per chip, and sell them for \$63 per chip. How much profit can they expect to earn if they produce 130,000 chips per week? ------------- You have two points relating production and profit: (100000,25) and (125000,28) --- slope = (28-25)/(125k-100k) = 3/25k = 0.00012 --------------------- Form: y = mx+b 25 = (0.00012)(10000) + b 25 = 33+b b = -8 -------- Equation: f(x) = (0.00012)x-8 How much profit can they expect to earn if they produce 130,000 chips per week? --- f(130000) = (0.00012)(130000) - 8 f(130000) = 15.6-8 = \$7.60 ----------------------------- Cheers, Stan H.
 Evaluation_Word_Problems/398031: your weekly paycheck is 30% less then your co worker your two paychecks total 740 find the amount of each paycheck1 solutions Answer 282039 by stanbon(57395)   on 2011-01-21 22:02:05 (Show Source): You can put this solution on YOUR website!your weekly paycheck is 30% less then your co worker. your two paychecks total 740 find the amount of each paycheck ---- Let one of the paycheck be "x". --- The other paycheck is "0.7x". --- Equation: x + 0.7x = 740 1.7x = 740 x = \$435.29 (one of the paychecks) 0.7x = 0.7*435.29 = \$304.71 (the other paycheck) ================== Cheers, Stan H.
 Rational-functions/398024: Find all numbers for which the rational expression is undefined. (use a comma to separate answers) (t^3-4t)/(t^2-36) 1 solutions Answer 282037 by stanbon(57395)   on 2011-01-21 21:54:33 (Show Source): You can put this solution on YOUR website!Find all numbers for which the rational expression is undefined. (use a comma to separate answers) (t^3-4t)/(t^2-36) ------ The denominator cannot be zero. Solve t^2-36 = 0 (t-6)(t+6) = 0 t = 6 or t = -6 ---- Domain: All Real numbers except t=6 or t=-6 ================== Cheers, Stan H.
 Permutations/397989: What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel? I tried two ways to get the answer and I don't know which is correct. 1) (1/6) * (2/5) = 1/15 2) ((C (6.1) * C(5.2)) / 6! = 1/12 Are either of these correct?1 solutions Answer 282012 by stanbon(57395)   on 2011-01-21 19:59:45 (Show Source): You can put this solution on YOUR website!What is the probability that if you rearranged the letters in the word TURKEY, you would get a “word” that starts with R and ends with a vowel? --- Notice: 6 letters; 1 R ; 2 vowels ------- #of ways to "succeed": 1st letter: 1 way last letter: 2 ways 2nd-5th letter: 4*3*2*1 = 24 ways --- # of ways to succeed = 1*2*24 = 48 ---- Total # of possible arrangements: 6! = 720 -- Prob of event as described = 48/720 = 1/15 =============================================== Cheers, Stan H.
 test/397994: S.J has 2 jobs offers at as a car salesperson. With the 1st one she will receive \$600 per mth plus a 2% commission of the total sale of the automobiles she sells. At the other dealership, she will receive \$1000 per mth plus a commission of 1.5% of her total sales. 34.which is the total sale of the automobiles that Ms. J must sell each mth to make the same income from either dealership? 35. Explain which job is better.1 solutions Answer 282004 by stanbon(57395)   on 2011-01-21 19:22:18 (Show Source): You can put this solution on YOUR website!Ms.J has 2 jobs offers as a car salesperson. With the 1st one she will receive \$600 per mth plus a 2% commission of the total sale of the automobiles she sells. --- 1st(x) = 600 + 0.02x ---------------------------------------- At the other dealership, she will receive \$1000 per mth plus a commission of 1.5% of her total sales. --- 2nd(x) = 1000 + 0.015x ---------------------------------------- 34.which is the total sales of the automobiles that Ms. J must sell each mth to make the same income from either dealership? --- Solve: 1st(x) = 2nd(x) 600 + 0.02x = 1000 + 0.015x 0.005x = 400 x = 80,000 (break even point) -------------------------------------------- 35. Explain which job is better. I'll leave that to you. Compare the two programs based on x = 70,000 Which one provides the higher Income? --- You could also graph the two plans on the same coordinate system and draw a conclusion. ============================================ Cheers, Stan H.
 Permutations/397991: A baseball manager chooses his lineup 1-9. How many ways can he organize his lineup if the pitcher doe not hit in the first four? I did 9*8*7*6*6*5*4*3*2 is this correct?1 solutions Answer 281996 by stanbon(57395)   on 2011-01-21 19:01:55 (Show Source): You can put this solution on YOUR website!A baseball manager chooses his lineup 1-9. How many ways can he organize his lineup if the pitcher does not hit in the first four? I did 9*8*7*6*6*5*4*3*2 ----- Since the pitcher is not in the 1st four, 8 ways to choose 1st 7 ways to choose 2nd 6 ways to choose 3rd 5 ways to choose 4th 5 ways to choose 3rd 4 ways 3 ways 2 ways 1 ways ============================= Cheers, Stan H.
 Linear_Algebra/397982: can you please explain how you work these out. i would be gratful if you show your working out clearly so that i understand it. 2) multiply and simplify : x(2x+8)-x(x-3) 2π(R^2 -r ^2) factorise common factor: 20x - 35 2x^2 +6 12y^2 - 4YX+20x^2Y 2πrh + 2πr^2 solve the follwoing equations 2(x-1)=3 7r+2=5(r-4) Solve simultaneous equations algebraically and draw a graph. a)Y = 2x Y= x + 5 b)3x + y = 13 2x – 3y = 6 c)2x + 3y = 7 3x – 2y = 17 1 solutions Answer 281993 by stanbon(57395)   on 2011-01-21 18:52:22 (Show Source): You can put this solution on YOUR website!multiply and simplify : x(2x+8)-x(x-3) = 2x^2+8x-x^2+3 = x^2+8x+3 --------------------------------------- 2π(R^2 -r ^2) = 2(pi)(R-r)(R+r) --------------------------------------- Factorise common factor: 20x - 35 = 5(4x-7) -------------------------- 2x^2 +6 = 2(x^2+3) -------------------------- 12y^2 - 4YX+20x^2Y = 4(3y^2-xy+5x^2) -------------------------- 2πrh + 2πr^2 = 2(pi)r(h+r) -------------------------- solve the following equations 2(x-1)=3 (x-1) = 3/2 x = 1+(3/2) x = 5/2 -------------------------- 7r+2=5(r-4) 7r+2 = 5r-20 2r = -22 r = -11 -------------------------- Solve simultaneous equations algebraically and draw a graph. a)Y = 2x Y= x + 5 --- Substitute for y and solve for "x": 2x = x + 5 x = 5 --- Then y = 2x = 2*5 = 10 Solution (5,10) -------------------------------------------- b)3x + y = 13 2x – 3y = 6 --- Multiply thru the 1st equation by 3 to get: 9x+3y = 39 2x-3y = 6 ---- Add and solve for "x": 11x = 45 x = 45/11 ------ Solve for "y": 3x + y = 13 3(35/11) + y = 13 (105/11) + y = (13*11/11) y = 38/11 --= -------------------------------------------------------- c)2x + 3y = 7 3x – 2y = 17 --- Multiply thru 1st by 3. Multiply thru 2nd by 2. --- 6x + 9y = 21 6x - 4y = 34 --- Subtract and solve for "y": -13y = 13 y = -1 --- Solve for "x": 2x+3y = 7 2x+3(-1) = 7 2x = 10 x = 5 ---------- ==================== Cheers, Stan H.
 Polynomials-and-rational-expressions/397976: It takes 7 hours for 8 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 3 cooks to prepare the dinner? Also what kind variation (inverse or direct) applies to the situation?1 solutions Answer 281985 by stanbon(57395)   on 2011-01-21 17:53:27 (Show Source): You can put this solution on YOUR website!It takes 7 hours for 8 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 3 cooks to prepare the dinner? Also what kind variation (inverse or direct) applies to the situation? --- The more cooks there are, the less time it takes. t = k/n where t is time and n is # of cooks. ------------------------------- Inverse variation. --- Solve for "k" using t=7 when n = 8: 7 =k/8 k = 56 ---- Equation: t = 56/n ------------ How long will it take 3 cooks to prepare the dinner? t = 56/3 time = 56/3 = 18 2/3 hrs ============================== Cheers, Stan H.
 Polynomials-and-rational-expressions/397974: Find the variation constant and an equation of variation where y varies inversely as x. Also y=7 and x=8?1 solutions Answer 281982 by stanbon(57395)   on 2011-01-21 17:47:01 (Show Source): You can put this solution on YOUR website!Find the variation constant and an equation of variation where y varies inversely as x. --- y = k/x --- Solve for "k" using y=7 and x=8? Equation for this problem: y = 56/x --- 7 = k/8 --- k = 56 =============== Variation constant = 56 ============================== Cheers, Stan H.
 Coordinate-system/397969: Identify two coordinates (or a table of values) that would be used to graph using the intercept method: x + 3y = 6.1 solutions Answer 281980 by stanbon(57395)   on 2011-01-21 17:43:36 (Show Source): You can put this solution on YOUR website!Identify two coordinates (or a table of values) that would be used to graph using the intercept method: x + 3y = 6. ------------------------ If x = 0, 3y = 6 and y = 2 giving you point (0,2) --- If y = 0, x = 6 giving you point (6,0) =================== Cheers, Stan H.
 Polynomials-and-rational-expressions/397965: The number N of aluminum cans used each year varies directly as the number of people P using the cans. If 57 people use 16,473 cans in one year, how many cans are used in a city which has a population of 1,862,000?1 solutions Answer 281979 by stanbon(57395)   on 2011-01-21 17:38:25 (Show Source): You can put this solution on YOUR website!The number N of aluminum cans used each year varies directly as the number of people P using the cans. If 57 people use 16,473 cans in one year, how many cans are used in a city which has a population of 1,862,000? ------------------------------- N = kP Solve for "k" using "If 57 people use 16,473 cans in one year". 16,473 = k*57 k = 289 --- Equation: N = 289/P --- How many cans are used in a city which has a population of 1,862,000? N = 289/1,862,000 --- N = 1.5521x10^-4 =================== Cheers, Stan H.
 Rate-of-work-word-problems/397960: One pump can empty a tank three times as another. working together they can complete a job in four hours, find the rate of each pump1 solutions Answer 281974 by stanbon(57395)   on 2011-01-21 17:27:36 (Show Source): You can put this solution on YOUR website!One pump can empty a tank three times as another. working together they can complete a job in four hours, find the rate of each pump --- One pump rate: 1/x job/hr Other pump rate: 1/(3x) job/hr ----- Together rate: 1/4 job/hr ================================ Equation: rate + rate = together rate 1/x + 1/(3x) = 1/4 --- Multiply thru by 12x to get: 12 + 4 = 3x 3x = 16 ----- One pump DATA: x = 16/3 hr Pump rate = (3/16) job/hr ----- Other pump DATA: time = 3x = 16 hr Pump rate = 1/16 job/hr ============================= Cheers, Stan H. ============
 Polynomials-and-rational-expressions/397957: A particular hybrid car travels approximately 312 miles on 6 gallons of gas. Find the amount of gas required for a 936 mile trip?1 solutions Answer 281966 by stanbon(57395)   on 2011-01-21 17:13:26 (Show Source): You can put this solution on YOUR website!A particular hybrid car travels approximately 312 miles on 6 gallons of gas. Find the amount of gas required for a 936 mile trip? ------- gas/miles = gas/miles x/936 = 6/312 x = 936(6/312) --- x = 3*6 x = 18 gallons ======================= Cheers, Stan H.
 Complex_Numbers/397904: The point (-5+bi) has been plotted on the complex plane and r=9. If 0°≤θ≤180° find the value of b. Leave your answer as a radical. Thank you all for your time and assistance! -ClanMacniall1 solutions Answer 281945 by stanbon(57395)   on 2011-01-21 16:20:32 (Show Source): You can put this solution on YOUR website!The point (-5+bi) has been plotted on the complex plane and r=9. If 0°≤θ≤180° find the value of b. Leave your answer as a radical. ----------- With that range for theta, (-5+bi) must be in the 2nd Quadrant and b must be positive. ---- x = -5 and r = 9 --- Solve for "y" 9^2 = [5^2+y^2] 81 = 25 + y^2 y^2 = 56 y = sqrt(56) ---- b = y = sqrt(56) =================== Cheers, Stan H.
 Rate-of-work-word-problems/397942: elsa can complete a typing job in six hours. She was given a helper and together they finish the job in only four days. How long would it take the helper had he worked alone1 solutions Answer 281941 by stanbon(57395)   on 2011-01-21 16:12:26 (Show Source): You can put this solution on YOUR website!elsa can complete a typing job in six hours. She was given a helper and together they finish the job in only four hours. How long would it take the helper had he worked alone ------ Elsa rate = 1/6 job/hr Helper's rate = 1/x job/hr Together rate = 1/4 job/hr -------------------------------- Equation: rate + rate = together rate 1/6 + 1/x = 1/4 --- Multiply thru by 12x to get: 2x + 12 = 3x x = 12 hrs (time for helper to do job alone) ============================== Cheers, Stan H.
 Complex_Numbers/397891: Hi, I am having a hard time with these two complex numbers problems. Can anyone help? Thanks. Directions: Without using a graph, find the endpoint of the vector that satisfies the following questions. 1. (-5-3i)+(20-7i) 2. (7+8i)-(6+9i)1 solutions Answer 281940 by stanbon(57395)   on 2011-01-21 16:09:18 (Show Source): You can put this solution on YOUR website!Without using a graph, find the endpoint of the vector that satisfies the following questions. 1. (-5-3i)+(20-7i) = (-5+20)+(-3-7)i = 15-10i ------------------- 2. (7+8i)-(6+9i) = 1-i ====== cheers, Stan H.
 real-numbers/397940: iF I have 4x^2+5=6x^3 how would i solve for a real number solutions?1 solutions Answer 281939 by stanbon(57395)   on 2011-01-21 16:05:28 (Show Source): You can put this solution on YOUR website!4x^2+5=6x^3 6x^3-4x^2-5 = 0 ----- I graphed it and found a Real solution at x = 1.223423... Cheers, Stan H.
 Geometry_Word_Problems/397926: the dimensions of a rectangle are such that its length is 5 inches more than its width. If teh length were doubled and the width were decreases by 2 inches the area would be increases by 52 inches squared what are the length and width of teh rectangel1 solutions Answer 281937 by stanbon(57395)   on 2011-01-21 16:01:00 (Show Source): You can put this solution on YOUR website!the dimensions of a rectangle are such that its length is 5 inches more than its width. If the length were doubled and the width were decreased by 2 inches the area would be increased by 52 inches squared. What are the length and width of the rectangel? --- Original dimensions: Let the width be "x". Then the length is "x+5" Area is x(x+5) = x^2+5x. -------------------------- New dimensions: width = x+2 length = 2(x+5) Area is 2(x+5)(x+2) = 2(x^2+7x+10) = 2x^2+14x+20 ---------------- Equation: New Area - Old Area = 52 sq. in. 2x^2+14x+20 -(x^2+5x) = 52 --- x^2+9x+20 = 52 x^2+8x-32 = 0 Use Quadratic formula to get a positive solution: x = 2.93 inches (width) x+5 = 7.93 inches (length) ================ Cheers, Stan H.
 Geometry_proofs/397933: what kInd of process do you use to show that a statement must be true because it cannot be false ?1 solutions Answer 281932 by stanbon(57395)   on 2011-01-21 15:48:30 (Show Source): You can put this solution on YOUR website!Indirect Proof. Cheers, Stan H.
 Graphs/397931: Find the intervals where the graph of the function f(x)=x^2-4 is above the x-axis. 1 solutions Answer 281931 by stanbon(57395)   on 2011-01-21 15:47:29 (Show Source): You can put this solution on YOUR website!Find the intervals where the graph of the function f(x)=x^2-4 is above the x-axis. ---- Since the coefficient of x^2 is positive, the parabola opens up. --- Since x^2-4 = (x-2)(x+2) = 0 means the x-intercepts are x=-2 and x=+2. The vertex is inbetween -2 and +2 and is below the x-axis. So f(x) is positive in these intervals: (-inf,-2)U(2,+inf) ================================= Cheers, Stan H. =============
 Complex_Numbers/397905: Express these complex numbers in standard form correct to one decimal place: If z=16(cos252°+i*sin252°) in trigonometric form find z in standard form. Thank you all for your time and assistance! -ClanMacniall1 solutions Answer 281923 by stanbon(57395)   on 2011-01-21 15:24:17 (Show Source): You can put this solution on YOUR website!Express these complex numbers in standard form correct to one decimal place: If z=16(cos252°+i*sin252°) in trigonometric form find z in standard form. --- x = 16*cos(252) = -4.9 y = 16*sin(252) = -15.2 ----------------------------- z = -4.9-15.2i ==================== Cheers, Stan H.
 Travel_Word_Problems/397922: how long to cover 92 miles traveling at 150mph1 solutions Answer 281922 by stanbon(57395)   on 2011-01-21 15:20:14 (Show Source): You can put this solution on YOUR website!how long to cover 92 miles traveling at 150mph --- time = distance/rate --- time = 92/150 --- time = 46/75 = 36.8 minutes = 36min 48sec =========================================== Cheers, Stan H.
 Square-cubic-other-roots/397928: 3^sqrt(81)1 solutions Answer 281920 by stanbon(57395)   on 2011-01-21 15:16:24 (Show Source): You can put this solution on YOUR website!3^sqrt(81) ------ cbrt(81) = cbrt(27)*cbrt(3) = 3*cbrt(3) ============ Cheers, Stan H.
 Polynomials-and-rational-expressions/397929: Solve 4 - a-5/a+3 = a^2-1/a+3, and what does a=?1 solutions Answer 281918 by stanbon(57395)   on 2011-01-21 15:14:31 (Show Source): You can put this solution on YOUR website!Solve 4 - a-5/a+3 = a^2-1/a+3, and what does a=? --- Multiply thru by (a+3) to get: 4(a+3) - (a-5) = a^2-1 ---- 4a+12 -a+5 = a^2-1 3a+17 = a^2-1 a^2-3a-18 = 0 ---- Factor: (a-6)(a+3) = 0 --- a = 6 or a = -3. ==== But a cannot be -3 as that would make a+3 be zero in the denominator. --- Only solution: a = 6 ========= Cheers, Stan H. =========
 Polynomials-and-rational-expressions/397927: Solve 5/7+1/4=1/x, and what does x=?1 solutions Answer 281917 by stanbon(57395)   on 2011-01-21 15:10:38 (Show Source): You can put this solution on YOUR website! Solve 5/7+1/4=1/x, and what does x=? --- lcm of 7,4,x is 28x --- Multiply thru by 28x to get: 20x + 7x = 28 27x = 28 x = 28/27 ---------- Cheers, Stan H.
 Trigonometry-basics/397889: Please solve 1+3Sinx=0 Thank you1 solutions Answer 281893 by stanbon(57395)   on 2011-01-21 13:16:56 (Show Source): You can put this solution on YOUR website!Please solve 1+3Sinx=0 3sin(x) = -1 sin(x) = -1/3 --- x = sin^-1(-1/3) = -19.47 degrees, if x is in the 4th Quadrant. If x is in the 3rd Quadrant the answer is 180+19.47 = 219.47 degrees. --------------- Cheers, Stan H.
 Evaluation_Word_Problems/397886: Investing her bonus. Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate? Please show each step and explain what you did.. Thank you soooo much!1 solutions Answer 281891 by stanbon(57395)   on 2011-01-21 13:12:40 (Show Source): You can put this solution on YOUR website!Investing her bonus. Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate? ----- Quantity Eq: x + y = 33000 dollars Interest Eq:0.04x + 0.025y = 970 dollars ------------------ Multiply thru Quantity Eq. by 4. Multiply thru Interest Eq. by 100. ------------------------------- 4x + 4y = 4*33000 4x + 2.5y = 97000 --------------------- Subtract the bottom from the top and solve for "y": 1.5y = 35000 y = \$23,333.33 (amt. invested at 2.25%) --- Solve for "x": x+y = 33000 x + 23,333.33 = 33000 x = \$9666.66 (amt. invested at 4%) ====================================== cheers, Stan H.
 Mixture_Word_Problems/397848: The radiator in a car is filled with a solution of 70% antifreeze and 30% water. The manufacturer of the antifreeze suggests that, for summer driving, optimal cooling of the engine is obtained with only 50% antifreeze. If the capacity of the radiator is 3.5 L, how much coolant should be drained and replaced with water to reduce the antifreeze concentration to the recommended level?1 solutions Answer 281863 by stanbon(57395)   on 2011-01-21 10:59:42 (Show Source): You can put this solution on YOUR website!The radiator in a car is filled with a solution of 70% antifreeze and 30% water. The manufacturer of the antifreeze suggests that, for summer driving, optimal cooling of the engine is obtained with only 50% antifreeze. If the capacity of the radiator is 3.5 L, how much coolant should be drained and replaced with water to reduce the antifreeze concentration to the recommended level? ---- Equation: water - water + water = water 0.30*3.5 - 0.30x + 1*x = 0.5*3.5 ---- Multiply thru by 100 to get: 30*3.5 - 30x + 100x = 50*3.5 70x = 20*3.5 --- x = 1 liter (amt. of solution that should be replaced) ============== Cheers, Stan H.
 Polynomials-and-rational-expressions/397788: Divide and simplify. Simplify your answer.1 solutions Answer 281860 by stanbon(57395)   on 2011-01-21 10:54:47 (Show Source): You can put this solution on YOUR website![(3x-9)/(55)] / [(x-3)/(25x))] ------ Invert the denominator and multiply: ---- [(3(x-3))/(55)] * [(25x)/(x-3)] =========== Cancel the x-3 and 5 factors common to numerator and denominator to get: ----------- = [(3)/(11)] * [(5x)/(1)] --- = (15x)/11 ============== Cheers, Stan H. ============
 Polynomials-and-rational-expressions/397834: A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible length of the rectangle.1 solutions Answer 281849 by stanbon(57395)   on 2011-01-21 10:29:41 (Show Source): You can put this solution on YOUR website!duplicate
 Polynomials-and-rational-expressions/397835: A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible width of the rectangle.1 solutions Answer 281848 by stanbon(57395)   on 2011-01-21 10:28:34 (Show Source): You can put this solution on YOUR website! A rectangle has an area given by A = x^2 + 5x + 6 Find an expression for the possible width of the rectangle. --------------- Factor: A = (x+3)(x+2) ---- width could be x+3 or it could be x+2 ============= Cheers, Stan H. =============